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Finding the Fourth Proportional to 194,404.67, 291,646.49 and 82,085.21

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Solution

The fourth proportional to 194,404.67, 291,646.49 and 82,085.21 is: 123,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,404.67 : 291,646.49 = 82,085.21 : x
  2. Step 2: Convert to fraction form
    194,404.67/291,646.49 = 82,085.21/x
  3. Step 3: Cross multiply
    194,404.67x = 291,646.49 × 82,085.21
  4. Step 4: Simplify right side
    194,404.67x = 23,939,863,377.41
  5. Step 5: Solve for x
    x = 23,939,863,377.41/194,404.67
  6. Step 6: Final answer
    x = 123,144.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.